## If N is a positive integer, such that the total number of factors of N is q, and the sum of powers of different prime

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### If N is a positive integer, such that the total number of factors of N is q, and the sum of powers of different prime

by AAPL » Fri Aug 13, 2021 5:20 pm

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E-GMAT

If N is a positive integer, such that the total number of factors of N is q, and the sum of powers of different prime factors as expressed in the prime factorization form of N is p, is $$p^q$$ even?

1) q is odd
2) p is even

OA D

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